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Finding the Fourth Proportional to 612.44, 916.13 and 509.85

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Solution

The fourth proportional to 612.44, 916.13 and 509.85 is: 762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.44 : 916.13 = 509.85 : x
  2. Step 2: Convert to fraction form
    612.44/916.13 = 509.85/x
  3. Step 3: Cross multiply
    612.44x = 916.13 × 509.85
  4. Step 4: Simplify right side
    612.44x = 467,086.33
  5. Step 5: Solve for x
    x = 467,086.33/612.44
  6. Step 6: Final answer
    x = 762.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.